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Finding the Fourth Proportional to 312.17, 467.66 and 174.80

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Solution

The fourth proportional to 312.17, 467.66 and 174.80 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 467.66 = 174.80 : x
  2. Step 2: Convert to fraction form
    312.17/467.66 = 174.80/x
  3. Step 3: Cross multiply
    312.17x = 467.66 × 174.80
  4. Step 4: Simplify right side
    312.17x = 81,746.09
  5. Step 5: Solve for x
    x = 81,746.09/312.17
  6. Step 6: Final answer
    x = 261.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.